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Finding the Third Proportional to 157,433.63 and 183,024.56

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Solution

The third proportional to 157,433.63 and 183,024.56 is: 212,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,433.63 : 183,024.56 = 183,024.56 : x
  2. Step 2: Convert to fraction form
    157,433.63/183,024.56 = 183,024.56/x
  3. Step 3: Cross multiply
    157,433.63x = 183,024.56 × 183,024.56
  4. Step 4: Simplify right side
    157,433.63x = 33,497,990,478.32
  5. Step 5: Solve for x
    x = 33,497,990,478.32/157,433.63
  6. Step 6: Final answer
    x = 212,775.32

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.